Answer:
Hello There!!
Step-by-step explanation:
Firstly,select three ordered pairs from the table. Secondly,substitute the first pair of values in to the form of the quadratic equation: f(x) = ax^2 + bx + c and then solve for a.
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Part A: After 9 days the radius of algae was approximately 12.81 mm. The reasonable domain to point is (0,9).
Part B: The 9 on the y-intercept represents the amount of algae the experiment started with.
Part C: (12.81-10.12)/7=0.38
Answer:
18 kilograms of drink A and 6 kilograms of drink B
Step-by-step explanation:
Let x equal the amount of Drink A
.04x + .08(24-x) = .05(24) Multiply through by 100 to clear the decimal
4x + 8(24-x) = 5(24)
4x + 192 - 8x = 120 Combine like terms
-4x + 192 = 120 Subtract 192 from both sides
-4x = -72 Divide both sides by -4
x = 18 This is the number of kilograms for drink A.
24-18= 6. This is the amount for Drink B
4x-y=3
-y=-4x+3
y=4x-3
Since it is perpendicular, the slope must be a negative reciprocal.
therefore the slope is -x/4
Substituting the x and the y values (to find the b)
6=5/4+b
6-5/4=b
19/4=b
therefore the equation of the line is
y=-x/4+19/4